{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:6TI4B6AUDRIPEQVW3RAAVU2EUZ","short_pith_number":"pith:6TI4B6AU","canonical_record":{"source":{"id":"1203.4553","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-03-20T19:45:59Z","cross_cats_sorted":[],"title_canon_sha256":"dcc62178d8d148a5fed3f5a10e08a9894603aa299fc8253d9838fb882c080276","abstract_canon_sha256":"d6bb5fc09ce8fecf632e12ec5af781da0663ce2460939c93e1d3fbb46ec33c7e"},"schema_version":"1.0"},"canonical_sha256":"f4d1c0f8141c50f242b6dc400ad344a658597c3e1ac3968213c48b549828d81b","source":{"kind":"arxiv","id":"1203.4553","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.4553","created_at":"2026-05-18T01:12:15Z"},{"alias_kind":"arxiv_version","alias_value":"1203.4553v1","created_at":"2026-05-18T01:12:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.4553","created_at":"2026-05-18T01:12:15Z"},{"alias_kind":"pith_short_12","alias_value":"6TI4B6AUDRIP","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_16","alias_value":"6TI4B6AUDRIPEQVW","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_8","alias_value":"6TI4B6AU","created_at":"2026-05-18T12:26:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:6TI4B6AUDRIPEQVW3RAAVU2EUZ","target":"record","payload":{"canonical_record":{"source":{"id":"1203.4553","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-03-20T19:45:59Z","cross_cats_sorted":[],"title_canon_sha256":"dcc62178d8d148a5fed3f5a10e08a9894603aa299fc8253d9838fb882c080276","abstract_canon_sha256":"d6bb5fc09ce8fecf632e12ec5af781da0663ce2460939c93e1d3fbb46ec33c7e"},"schema_version":"1.0"},"canonical_sha256":"f4d1c0f8141c50f242b6dc400ad344a658597c3e1ac3968213c48b549828d81b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:12:15.183863Z","signature_b64":"2jtFWnheVFadANIbVjMFRr+uJpJcd5omIvZL/68+IJpxVWh+AbMnIvoYTWiKzUHGyFbNY/3CQs7ZFcRKwmv2Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f4d1c0f8141c50f242b6dc400ad344a658597c3e1ac3968213c48b549828d81b","last_reissued_at":"2026-05-18T01:12:15.183461Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:12:15.183461Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1203.4553","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:12:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7cva4FWV89b6b0qC6Lm/NAX7ozKucpM84eYqkCXan28SqlRJYV+lSlH6LYPpnn7WHN1/MTi1LNaQfZPP69n5Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T10:01:09.338788Z"},"content_sha256":"6e70e80ff0ba6bc8063ae76cb948ec9c6971815b724a5c5b9edefacc6ebee053","schema_version":"1.0","event_id":"sha256:6e70e80ff0ba6bc8063ae76cb948ec9c6971815b724a5c5b9edefacc6ebee053"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:6TI4B6AUDRIPEQVW3RAAVU2EUZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On isophote curve and its characterizations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Fatih Dogan, Yusuf Yayli","submitted_at":"2012-03-20T19:45:59Z","abstract_excerpt":"Isophote comprises a locus of the surface points whose normal vectors make a constant angle with a fixed vector. Main objective of this paper is to find the axis of an isophote curve via its Darboux frame and afterwards to give some characterizations about isophote and its axis. Particularly, for isophotes lying on a canal surface will be obtained other characterizations again."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.4553","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:12:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VtMxo1Z8M7FJRb9mY80sFLgBK/JQMhEAJchimnz9fq37hhWbchA3W2cyo7PbYZ7kVVdWQggXI0trNs74GdrjDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T10:01:09.339457Z"},"content_sha256":"7c220ca24bb54dda33b539f90cce0212a2868187045234070447f2ad5c0b6f3e","schema_version":"1.0","event_id":"sha256:7c220ca24bb54dda33b539f90cce0212a2868187045234070447f2ad5c0b6f3e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6TI4B6AUDRIPEQVW3RAAVU2EUZ/bundle.json","state_url":"https://pith.science/pith/6TI4B6AUDRIPEQVW3RAAVU2EUZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6TI4B6AUDRIPEQVW3RAAVU2EUZ/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-26T10:01:09Z","links":{"resolver":"https://pith.science/pith/6TI4B6AUDRIPEQVW3RAAVU2EUZ","bundle":"https://pith.science/pith/6TI4B6AUDRIPEQVW3RAAVU2EUZ/bundle.json","state":"https://pith.science/pith/6TI4B6AUDRIPEQVW3RAAVU2EUZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6TI4B6AUDRIPEQVW3RAAVU2EUZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:6TI4B6AUDRIPEQVW3RAAVU2EUZ","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"d6bb5fc09ce8fecf632e12ec5af781da0663ce2460939c93e1d3fbb46ec33c7e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-03-20T19:45:59Z","title_canon_sha256":"dcc62178d8d148a5fed3f5a10e08a9894603aa299fc8253d9838fb882c080276"},"schema_version":"1.0","source":{"id":"1203.4553","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.4553","created_at":"2026-05-18T01:12:15Z"},{"alias_kind":"arxiv_version","alias_value":"1203.4553v1","created_at":"2026-05-18T01:12:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.4553","created_at":"2026-05-18T01:12:15Z"},{"alias_kind":"pith_short_12","alias_value":"6TI4B6AUDRIP","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_16","alias_value":"6TI4B6AUDRIPEQVW","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_8","alias_value":"6TI4B6AU","created_at":"2026-05-18T12:26:56Z"}],"graph_snapshots":[{"event_id":"sha256:7c220ca24bb54dda33b539f90cce0212a2868187045234070447f2ad5c0b6f3e","target":"graph","created_at":"2026-05-18T01:12:15Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"Isophote comprises a locus of the surface points whose normal vectors make a constant angle with a fixed vector. Main objective of this paper is to find the axis of an isophote curve via its Darboux frame and afterwards to give some characterizations about isophote and its axis. Particularly, for isophotes lying on a canal surface will be obtained other characterizations again.","authors_text":"Fatih Dogan, Yusuf Yayli","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-03-20T19:45:59Z","title":"On isophote curve and its characterizations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.4553","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:6e70e80ff0ba6bc8063ae76cb948ec9c6971815b724a5c5b9edefacc6ebee053","target":"record","created_at":"2026-05-18T01:12:15Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"d6bb5fc09ce8fecf632e12ec5af781da0663ce2460939c93e1d3fbb46ec33c7e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-03-20T19:45:59Z","title_canon_sha256":"dcc62178d8d148a5fed3f5a10e08a9894603aa299fc8253d9838fb882c080276"},"schema_version":"1.0","source":{"id":"1203.4553","kind":"arxiv","version":1}},"canonical_sha256":"f4d1c0f8141c50f242b6dc400ad344a658597c3e1ac3968213c48b549828d81b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f4d1c0f8141c50f242b6dc400ad344a658597c3e1ac3968213c48b549828d81b","first_computed_at":"2026-05-18T01:12:15.183461Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:12:15.183461Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2jtFWnheVFadANIbVjMFRr+uJpJcd5omIvZL/68+IJpxVWh+AbMnIvoYTWiKzUHGyFbNY/3CQs7ZFcRKwmv2Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T01:12:15.183863Z","signed_message":"canonical_sha256_bytes"},"source_id":"1203.4553","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6e70e80ff0ba6bc8063ae76cb948ec9c6971815b724a5c5b9edefacc6ebee053","sha256:7c220ca24bb54dda33b539f90cce0212a2868187045234070447f2ad5c0b6f3e"],"state_sha256":"fe77d1053de1ad01d197441bf5825fc813e2e28f8d1a95b93c477bdf81ae32cd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EyUCGvvjUNm5SXgQgfvzpu8UnrmPTl8bFLsTa3Ahw9g22Y436jpBdfd39Zz0/HiI9om/vJg+Q2gDMULaFnEXBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T10:01:09.343012Z","bundle_sha256":"d956b9267f7e9b208215f942460f9ef25b6307b1f849c89bda78b5624bec4da0"}}